In general, both the HF and NBCS break rotational symmetry.
To cure this problem, projection on angular momentum is necessary.
While it is usually implemented as a numerical quadrature on Euler angles [1]}, [2]},
a recently proposed linear algebra projection (LAP)  [3]}
is more than 10 times faster than the quadrature in nuclear structure computations [4]}.
LAP has been successfully implemented to project nuclear states out of both Slater determinants [3]}, [4]} and out of a general pair condensate [7]}.
Here we outline the application of LAP to NBCS.
